121930090677720 has 512 divisors, whose sum is σ = 463489078752000. Its totient is φ = 28245351628800.

The previous prime is 121930090677683. The next prime is 121930090677743. The reversal of 121930090677720 is 27776090039121.

121930090677720 is a `hidden beast` number, since 121 + 9 + 300 + 90 + 67 + 7 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3604289766 + ... + 3604323594.

Almost surely, 2^{121930090677720} is an apocalyptic number.

121930090677720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121930090677720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231744539376000).

121930090677720 is an abundant number, since it is smaller than the sum of its proper divisors (341558988074280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121930090677720 is a wasteful number, since it uses less digits than its factorization.

121930090677720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48980 (or 48970 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 121930090677720 in words is "one hundred twenty-one trillion, nine hundred thirty billion, ninety million, six hundred seventy-seven thousand, seven hundred twenty".